What is the Greatest Common Factor of 57759 and 57772?

Greatest common factor (GCF) of 57759 and 57772 is 13.

GCF(57759,57772) = 13

We will now calculate the prime factors of 57759 and 57772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57759 and 57772.

How to find the GCF of 57759 and 57772?

We will first find the prime factorization of 57759 and 57772. After we will calculate the factors of 57759 and 57772 and find the biggest common factor number .

Step-1: Prime Factorization of 57759

Prime factors of 57759 are 3, 13, 1481. Prime factorization of 57759 in exponential form is:

57759 = 3¹ × 13¹ × 1481¹

Step-2: Prime Factorization of 57772

Prime factors of 57772 are 2, 11, 13, 101. Prime factorization of 57772 in exponential form is:

57772 = 2² × 11¹ × 13¹ × 101¹

Step-3: Factors of 57759

List of positive integer factors of 57759 that divides 57759 without a remainder.

1, 3, 13, 39, 1481, 4443, 19253

Step-4: Factors of 57772

List of positive integer factors of 57772 that divides 57759 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 101, 143, 202, 286, 404, 572, 1111, 1313, 2222, 2626, 4444, 5252, 14443, 28886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57759 and 57772. The biggest common factor number is the GCF number.
So the greatest common factor 57759 and 57772 is 13.

Also check out the Least Common Multiple of 57759 and 57772